AffineMap.left_vsub_lineMap
∀ {k : Type u_1} {V1 : Type u_2} {P1 : Type u_3} [inst : Ring k] [inst_1 : AddCommGroup V1] [inst_2 : Module k V1]
[inst_3 : AddTorsor V1 P1] (p₀ p₁ : P1) (c : k), p₀ -ᵥ (AffineMap.lineMap p₀ p₁) c = c • (p₀ -ᵥ p₁)- Cited by
- 2 results in Mathlib
- Foundations
- Depth 46 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Modulestatement and proof · cited by 20,661
- AddCommGroupstatement and proof · cited by 12,871
- Ringstatement and proof · cited by 7,463
- AddTorsorstatement and proof · cited by 1,657
- VSub.vsubstatement and proof · cited by 817
- AffineMapstatement · cited by 674
- AffineMap.lineMapstatement and proof · cited by 254
- smul_negproof · cited by 181
- neg_vsub_eq_vsub_revproof · cited by 87
- AffineMap.lineMap_vsub_leftproof · cited by 9
Cited by2
Results whose statement or proof uses this declaration.
- left_vsub_midpointproof · cited by 7
- AffineMap.right_vsub_lineMapproof · cited by 1